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Fracture toughness of ice and firn determined from the modified ring test

  • Mark P. Fischer (a1), Richard B. Alley (a1) and Terry Engelder (a2)

Abstract

The modified ring test is used to determine the fracture toughness of synthetic, granular, fresh-water ice average density 0.891 Mg m−3 and firn (average density 0.605 Mg m 3) from depths between 26 and 27.2 m in the E core of the Greenland Ice Sheet Project II. Average fracture toughness is 145.7kPa m2 for the manufactured ice and 108.6kPam½ for the firn. Comparison between the ice and firn suggests that ice-fracture toughness decreases with decreasing density (i.e. increasing porosity), suggesting lateral and vertical variations in the near-surface fracture resistance of glaciers and ice sheets may be related to firn densification. The modified ring test has many advantages over conventional, notch-based specimens in that complications which arise in notched specimens due to crack-length, loading-rate, notch-acuity and specimen-size effects are irrelevant for a modified ring-specimen geometry.

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References

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Alley, R. B. 1987a. Firn densification by grain-boundary sliding: a first model. J Phys. (Paris), 48. Colloq, C1, 249356. (Supplément au 3.)
Alley, R.B. 1987b. Texture of polar firn for remote sensing. Ann Glaciol., 9, 14.
Andrews, R. M., McGregor, A. R. and Miller, K. J. 1984. Fracture toughness of glacier ice. In Miller, K. J., ed. The International Karakoram Project. Vol. I. Cambridge, etc. Cambridge University Press, 147159.
Barsoum, R. S. 1976. On the use of isoparametric finite elements in linear fracture mechanics. Numer. Int. J. Methods Eng., 10, 2537.
Bentley, D. L. Dempsey, J. P. Sodhi, D. S. and Wei, Y. 1988. Fracture of S2 columnar freshwater ice: floating double cantilever beam tests. In Sacki, H. and Hirayama, K. -I. eds. Preceedings., the 9th International Symposium on Ice, 23 – 27 August1988, Sapporo, Japan Vol. I. Delft, International Association for Hydraulic Research. Committee on Ice Problems,152161.
Bittencourt, T. N., Barry, A. and Ingraffea, A. R. 1992. Comparison of mixed-mode stress intensity factors obtained through displacement correlation, J-inregral formulation, and modified crack-closure integral. In. Atluri, S. N., Newman, J. C., jr. Raju, I.S. and Epstein, J. S., eds. Fracture mechanics. Proceedings of the 22nd National Symposium on Fracture Mechanics. Philadelphia., PA, American Society of Testing and Materials, 69 – 82. (Special Technical Publication 2.)
Broek, D. 1986. Elementary engineering fracture mechanics. Alphen aan den Rijn, Sijthoff and Noordhoff International Publishers.
Danilenko, V. I. 1985. Determination of crack resistance (KIc) of freshwater ice. Mech, Solids, 20, 131136.
DeFranco, S. J., Wei, Y. and Dempsey, J. P. 1991.Notch-acuity effects on the fracture toughness of salinc Glaciol. ice. Ann., 15, 280235.
Dempsey, J. P., Wei, Y., DeFranco, S., Ruben, R. and Frachetti, R. 1989a. Fracture toughness of S2 columnar freshwater ice: crack length and specimen size effects, Part I, In Sinha, N. K., Sodhi, D. S. and Chung, J. S., eds. Proceedings. of the Eighth International Conference on Offshore Mechanics and Arctic Engineering, The Hague. The. Netherlands. March. 19 – 23, 1989, Vol. 4. Arctic and polar technology, New York, American Society of Mechanical Engineers. 8389.
Dempsey, J. P., Y, Wei., S, DeFranco., R, Ruben. and R, Frachetti. 1989b. Fracture toughness of S2 columnar freshwater ice: crack length and specimen size effects. part. II. In Axelsson, K. B. E. and Franssan, L. A. eds. POAC. 89. The 10th International Conference on Port and Ocean Engineering under Arctic Conditions, June 12 – 16, Lulea, Vol. Sweden. Proceedings 1. Lulea, Tekniska Högskolan i Lutea. 199207.
Fischer, M. P. 1994. Application of linear elastic fracture mechanics to some problems of fracture propagation in rock and ice. (Ph.D. thesis., Pennsylvania State University.)
Fischer, M, P., Elsworth, D. and Alley, R. B. In press Finite element analysis of the modified ring test for determining mode I fracture toughness. Rock. Int. J. Sci. Mech. Min. Geomech. Abstr.
Goodman, D. J. and Taboti, D. 1978. Fracture toughness of ice: a preliminary account of some new experiments. J Glaciol., 21 (85), 651660.
Herron, M. M. and Langway, C. C. Jr. 1980. Firn densification: an empirical model. J Glaciol., 25 (93), 373385.
Hu, X. and Wittmann, F. H. 1990. Experimental method to determine extension of fracture-process zone. J. Eng. Mat. Civ., 2, 1523.
Ingraffea, R. A. 1987. Theory of crack initiation and propagation in rock. In Atkinson, B. K., ed. Fracture mechanics of rack. London. Academic Press, 71110.
Janowski, L. J. and Stys, D. J. 1990. Formation of the fracture process zone in concrete. Mech. Eng. Fract., 36, 245253.
Krstic, V. D. and Erickson, W. H. 1987. A model for the porosity dependence of Young’s modulus in brittle solids based on crack opening displacement. Sci. J. Mater., 22. 28812886.
Lawn, R. 1993. Fracture of brittle solids. Second edition. Cambridge, Cambridge University Press.
Liu, H. W. and Miller, K. J. 1979. Fracture toughness of fresh-water ice. J. Glacial., 22 (86), 135143.
Matsuki, K., Hasibuan, S. S. and Takahashi, H. Specimen size requirements for determining the inherent fracture toughness of rocks according to the ISRM suggested methods. Rock. Int. J. Mech. Min. Abstr. Sci. Geomech., 28, 365374.
Miller, Κ J. 1984. The mechanics of fracture applied to ice. In Miller, K. J., ed. The International Karakoram Project Vol. 1. Cambridge, etc., Cambridge University Press, 135146.
Nixon, W. A. and Schulson, E. M. 1986. The fracture toughness of ice over a range of grain sizes. In Lunardini, V. J., Wang, Y. S., Ayorinde, O. A. and Sodhi, D. S., eds. Proceedings of the Fifth International Mechanics and Arctic Engineering (OMAE) Symposium … Tokyo, Japan, April 13 – 18, 1986… Vol. 4. New York, American Society of Mechanical Engineers, 349353.
Nixon, W. A. and Schulson, E. M. 1987. A micromechanical view of the fracture toughness of ice. J Phys. (Paris), 48, Colloq. C1, 313319. (Supplément au 3,)
Nixon, W. A. and Weber, L. J. 1991. Fatigue-crack growth in fresh-water ice: preliminary Glaciol. results. Ann., 15, 236241.
Parsons, B. L., Snellen, J. B. and B, Hill. 1986. Physical modeling and the fracture toughness of Sea ice. In Lunardini, V.J., Wang, Y. S., Ayorinde, O.A. and Sodhi, D. S., eds. Proceedings. of the Fifth International Mechanics and Arctic Engineering (OMAE) Symposium … Tokyo, Japan, April 13 – 18, 1986 Vol. 4. New York, American Society of Mechanical Engineers, 358364.
Riedel, H. and Rice, J. R. 1980. Tensile cracks in creeping solids. In Fracture mechanics. Proceedings. of the Twelfth National Symposium on Frecture Mechanics. Philadelphia, PA, American Society for Testing and Materials. 112130. (Special Technical Publication 700.)
Rybicki, E. F. and Kanninen, M. F. 1977. A finite element calculation of stress intensity factors by a modified crack closure intergal. ΕMech. ng. Fract., 9, 931938.
Schmidt, R. A. 1980. A microcrack model and its significance to hydraulic fracturing and fracture toughness testings. In Summers, D. Α., comp. Rock. mechanics. Proceedings. of the 21st U.S. Symposium. on Rock Mechanics. Rotterdam. A. A. Balkema., 581590.
Smith, T. R., Schulson, M. E. and Schulson, Ε. M. 1990. The fracture toughness of porous ice with and without particles, In Ayorinde, O. A. Sinha, N. K. and Sodhi, D. S., eds. Proceedings of the Ninth International Conference on offshore Mechanics and Arctic Engineering … presented at … Houston, Texas, February 18 – 23 ,1990. Vol. 4. Arctic/polar technology. New York, American Society of Mechanical Engineers, 241246.
Swartz, S. Ε. and Shah, S. P. 1991. Novel experimental techniques for damage evaluation in the fracture process zone in concrete and rock. Experimental Techniques, 15 (3), 13.
Thiercelin, M. 1987. Fracture toughness under confining pressure using the modified ring test. In Farmer, I. W., Dacmen, J.J.K., Desai, C. S., Glass, C. E. and Neuman, S. P., eds. Rock mechanics, Proceedings of the 28th U.S. Symposium on Rock Mechanics. Rotterdam, Balkema A. A. 149156.
Thiercelin, M. 1989. Fracture toughness and hydraulic fracturing. Rock. Int. J. Sci. Mech. Min. Geomech Abstr., 26. 177183.
Thiercelin, M. and Roegiers, J. C. 1987. Toughness determination with the modified ring test. In Hartman;, H. L., ed. Rock mechanics: key to energy production Proceedings of the 27th U.S. Symposium. on Rock Mechanics. Littleton, CO, Society of Mining Engineers, 616622.
Thiercelin, M., Boone, T.J. J. Roegiers, c. and Ingraffea, A. R. 1987. An investigation of the materiial parameters that govern the behavior of fractures approaching rock interfaces. In Herget, C. and S, Vongpaisal., eds. Proceedings of the Sixth International Congress on Rock Mechanics Rotterdam, A A. Balkema. 163269.
Timco, G. W. and Frederking, R.M.W. 1986. The effects of anisotropy and microcracks on the fracture toughness (KIc) of freshwater ice. In Lunardini, V. J., Wang, Y. S., Ayorinde, O. A. and Sodhi, D. S., eds. Proceedings of the Fifth International Mechanics and Arctic Engineering (OMAE) Symposium … Tokyo, Japan, April 13 – 18, 1986 Vol. 4. New York, American Society of Mechanical Engineers, 341348.
Underwood, Ε. Ε. 1970, Quantitative stereology. Reading MA, Addison-Wesley Publishing Company.
Wawrzynek, P. A. and Ingraffea, A. R. 1987. Interactive finite element analysis of fracture processes; an integrated approach. Fract. Theor. Appl. Mech., 8, 137150.
Weber, L. J. and Nixon, W. A. 1992. Fracture toughness of granular freshwater ice. In Ayorinde, O. A., Sinha, N. K., Sodhi, D. S. and Nixon, W. A. eds. Proceedings. of the 11th International Conference on offshore Mechanics and Arctic Engineering … presented at … calgary, Alberta, Canada, June7 – 12 1992. Vol. 4. Arctic/polar technology. New York, American Society of Mechanical Engineers, 377381
Wei, Y., DeFranco, S. J. and Dempsey, J. P. 1990. Notch acuity effects on the fracture toughness of freshwater ice. In Ayorinde, O. A.,Sinha, N.K., and Sodhi, D. S., eds. Proceedings. of the Ninth International Conference on Offshore Mechanics and Arctic Engineering … presented at … Houston, Texas, February 18 – 23 1990. Vol. 4. Arctic/polar technology. New York, American Society of Mechanical Engineers, 253257.

Fracture toughness of ice and firn determined from the modified ring test

  • Mark P. Fischer (a1), Richard B. Alley (a1) and Terry Engelder (a2)

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